Evidence against a glass transition in the 10-state short-range Potts glass

We present the results of Monte Carlo simulations of two different 10-state Potts glasses with random nearest-neighbor interactions on a simple cubic lattice. In the first model the interactions come from a +/- J distribution and in the second model from a Gaussian one, and in both cases the first two moments of the distribution are chosen to be equal to J(0) = -1 and DeltaJ = 1. At low temperatures the spin autocorrelation function for the +/- J model relaxes in several steps, whereas the one for the Gaussian model shows only one. In both systems the relaxation time increases like an Arrhenius law. Unlike the infinite-range model, there are only very weak finite-size effects and there is no evidence that a dynamical or a static transition exists at a finite temperature.